Properties

Label 177.4.e.b.4.1
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.48057 - 0.596048i) q^{2} +(1.94216 - 2.28649i) q^{3} +(21.8684 + 4.81360i) q^{4} +(0.769914 + 0.585273i) q^{5} +(-12.0070 + 11.3736i) q^{6} +(4.65584 - 11.6853i) q^{7} +(-75.1876 - 25.3337i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-5.48057 - 0.596048i) q^{2} +(1.94216 - 2.28649i) q^{3} +(21.8684 + 4.81360i) q^{4} +(0.769914 + 0.585273i) q^{5} +(-12.0070 + 11.3736i) q^{6} +(4.65584 - 11.6853i) q^{7} +(-75.1876 - 25.3337i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-3.87071 - 3.66653i) q^{10} +(-2.09487 + 0.969189i) q^{11} +(53.4781 - 40.6530i) q^{12} +(6.63504 - 40.4719i) q^{13} +(-32.4816 + 61.2668i) q^{14} +(2.83351 - 0.623703i) q^{15} +(234.392 + 108.441i) q^{16} +(1.58645 + 3.98169i) q^{17} +(2.68615 + 49.5432i) q^{18} +(72.2438 + 106.552i) q^{19} +(14.0195 + 16.5050i) q^{20} +(-17.6758 - 33.3402i) q^{21} +(12.0588 - 4.06307i) q^{22} +(3.74368 - 69.0482i) q^{23} +(-203.951 + 122.713i) q^{24} +(-33.1908 - 119.543i) q^{25} +(-60.4870 + 217.854i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(158.064 - 233.127i) q^{28} +(-44.5628 + 4.84649i) q^{29} +(-15.9010 + 1.72934i) q^{30} +(118.127 - 174.224i) q^{31} +(-676.095 - 406.793i) q^{32} +(-1.85253 + 6.67221i) q^{33} +(-6.32138 - 22.7675i) q^{34} +(10.4237 - 6.27171i) q^{35} +(10.9105 - 201.231i) q^{36} +(-284.864 + 95.9818i) q^{37} +(-332.427 - 627.024i) q^{38} +(-79.6522 - 93.7738i) q^{39} +(-43.0609 - 63.5100i) q^{40} +(-13.4264 - 247.635i) q^{41} +(77.0013 + 193.259i) q^{42} +(-358.528 - 165.873i) q^{43} +(-50.4767 + 11.1108i) q^{44} +(4.07704 - 7.69012i) q^{45} +(-61.6735 + 376.192i) q^{46} +(65.2556 - 49.6061i) q^{47} +(703.176 - 325.324i) q^{48} +(134.148 + 127.072i) q^{49} +(110.651 + 674.944i) q^{50} +(12.1852 + 4.10568i) q^{51} +(339.913 - 853.117i) q^{52} +(327.208 - 309.948i) q^{53} +(118.497 + 90.0789i) q^{54} +(-2.18011 - 0.479878i) q^{55} +(-646.092 + 760.638i) q^{56} +(383.938 + 41.7557i) q^{57} +247.118 q^{58} +(-206.351 - 403.483i) q^{59} +64.9666 q^{60} +(-618.086 - 67.2209i) q^{61} +(-751.247 + 884.436i) q^{62} +(-110.561 - 24.3363i) q^{63} +(1818.11 + 1382.09i) q^{64} +(28.7955 - 27.2766i) q^{65} +(14.1299 - 35.4633i) q^{66} +(165.700 + 55.8308i) q^{67} +(15.5269 + 94.7097i) q^{68} +(-150.607 - 142.662i) q^{69} +(-60.8658 + 28.1595i) q^{70} +(-557.858 + 424.072i) q^{71} +(-115.523 + 704.661i) q^{72} +(248.242 - 468.235i) q^{73} +(1618.42 - 356.242i) q^{74} +(-337.794 - 156.280i) q^{75} +(1066.96 + 2677.86i) q^{76} +(1.57187 + 28.9915i) q^{77} +(380.646 + 561.410i) q^{78} +(-666.650 - 784.842i) q^{79} +(116.994 + 220.674i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-74.0182 + 1365.18i) q^{82} +(-80.1205 + 48.2069i) q^{83} +(-226.056 - 814.180i) q^{84} +(-1.10895 + 3.99407i) q^{85} +(1866.07 + 1122.78i) q^{86} +(-75.4665 + 111.305i) q^{87} +(182.061 - 19.8004i) q^{88} +(1458.87 - 158.662i) q^{89} +(-26.9282 + 39.7161i) q^{90} +(-442.034 - 265.963i) q^{91} +(414.238 - 1491.95i) q^{92} +(-168.940 - 608.465i) q^{93} +(-387.206 + 232.974i) q^{94} +(-6.74032 + 124.318i) q^{95} +(-2243.21 + 755.826i) q^{96} +(-478.099 - 901.790i) q^{97} +(-659.465 - 776.382i) q^{98} +(11.6580 + 17.1943i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.48057 0.596048i −1.93767 0.210735i −0.944599 0.328226i \(-0.893549\pi\)
−0.993074 + 0.117491i \(0.962515\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 21.8684 + 4.81360i 2.73355 + 0.601699i
\(5\) 0.769914 + 0.585273i 0.0688632 + 0.0523484i 0.639040 0.769174i \(-0.279332\pi\)
−0.570176 + 0.821522i \(0.693125\pi\)
\(6\) −12.0070 + 11.3736i −0.816972 + 0.773877i
\(7\) 4.65584 11.6853i 0.251392 0.630945i −0.748075 0.663615i \(-0.769022\pi\)
0.999466 + 0.0326693i \(0.0104008\pi\)
\(8\) −75.1876 25.3337i −3.32285 1.11960i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −3.87071 3.66653i −0.122403 0.115946i
\(11\) −2.09487 + 0.969189i −0.0574206 + 0.0265656i −0.448389 0.893838i \(-0.648002\pi\)
0.390969 + 0.920404i \(0.372140\pi\)
\(12\) 53.4781 40.6530i 1.28648 0.977959i
\(13\) 6.63504 40.4719i 0.141556 0.863453i −0.816599 0.577205i \(-0.804143\pi\)
0.958155 0.286249i \(-0.0924083\pi\)
\(14\) −32.4816 + 61.2668i −0.620077 + 1.16959i
\(15\) 2.83351 0.623703i 0.0487740 0.0107360i
\(16\) 234.392 + 108.441i 3.66238 + 1.69440i
\(17\) 1.58645 + 3.98169i 0.0226336 + 0.0568060i 0.939859 0.341562i \(-0.110956\pi\)
−0.917226 + 0.398368i \(0.869577\pi\)
\(18\) 2.68615 + 49.5432i 0.0351740 + 0.648747i
\(19\) 72.2438 + 106.552i 0.872309 + 1.28656i 0.956981 + 0.290150i \(0.0937052\pi\)
−0.0846725 + 0.996409i \(0.526984\pi\)
\(20\) 14.0195 + 16.5050i 0.156743 + 0.184532i
\(21\) −17.6758 33.3402i −0.183675 0.346448i
\(22\) 12.0588 4.06307i 0.116861 0.0393749i
\(23\) 3.74368 69.0482i 0.0339396 0.625980i −0.931242 0.364401i \(-0.881274\pi\)
0.965182 0.261579i \(-0.0842433\pi\)
\(24\) −203.951 + 122.713i −1.73464 + 1.04370i
\(25\) −33.1908 119.543i −0.265527 0.956340i
\(26\) −60.4870 + 217.854i −0.456249 + 1.64326i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 158.064 233.127i 1.06683 1.57346i
\(29\) −44.5628 + 4.84649i −0.285348 + 0.0310335i −0.249674 0.968330i \(-0.580323\pi\)
−0.0356743 + 0.999363i \(0.511358\pi\)
\(30\) −15.9010 + 1.72934i −0.0967705 + 0.0105244i
\(31\) 118.127 174.224i 0.684393 1.00940i −0.313811 0.949486i \(-0.601606\pi\)
0.998203 0.0599181i \(-0.0190840\pi\)
\(32\) −676.095 406.793i −3.73493 2.24723i
\(33\) −1.85253 + 6.67221i −0.00977224 + 0.0351964i
\(34\) −6.32138 22.7675i −0.0318855 0.114841i
\(35\) 10.4237 6.27171i 0.0503406 0.0302889i
\(36\) 10.9105 201.231i 0.0505114 0.931627i
\(37\) −284.864 + 95.9818i −1.26571 + 0.426468i −0.870521 0.492132i \(-0.836218\pi\)
−0.395190 + 0.918599i \(0.629321\pi\)
\(38\) −332.427 627.024i −1.41913 2.67676i
\(39\) −79.6522 93.7738i −0.327040 0.385021i
\(40\) −43.0609 63.5100i −0.170213 0.251045i
\(41\) −13.4264 247.635i −0.0511427 0.943272i −0.905701 0.423916i \(-0.860655\pi\)
0.854559 0.519355i \(-0.173828\pi\)
\(42\) 77.0013 + 193.259i 0.282894 + 0.710011i
\(43\) −358.528 165.873i −1.27151 0.588264i −0.336101 0.941826i \(-0.609108\pi\)
−0.935411 + 0.353561i \(0.884971\pi\)
\(44\) −50.4767 + 11.1108i −0.172946 + 0.0380684i
\(45\) 4.07704 7.69012i 0.0135060 0.0254750i
\(46\) −61.6735 + 376.192i −0.197680 + 1.20579i
\(47\) 65.2556 49.6061i 0.202522 0.153953i −0.498998 0.866603i \(-0.666298\pi\)
0.701519 + 0.712650i \(0.252505\pi\)
\(48\) 703.176 325.324i 2.11447 0.978260i
\(49\) 134.148 + 127.072i 0.391101 + 0.370471i
\(50\) 110.651 + 674.944i 0.312970 + 1.90903i
\(51\) 12.1852 + 4.10568i 0.0334563 + 0.0112728i
\(52\) 339.913 853.117i 0.906490 2.27512i
\(53\) 327.208 309.948i 0.848029 0.803296i −0.134205 0.990954i \(-0.542848\pi\)
0.982234 + 0.187658i \(0.0600896\pi\)
\(54\) 118.497 + 90.0789i 0.298618 + 0.227003i
\(55\) −2.18011 0.479878i −0.00534483 0.00117649i
\(56\) −646.092 + 760.638i −1.54174 + 1.81508i
\(57\) 383.938 + 41.7557i 0.892172 + 0.0970295i
\(58\) 247.118 0.559451
\(59\) −206.351 403.483i −0.455333 0.890321i
\(60\) 64.9666 0.139786
\(61\) −618.086 67.2209i −1.29734 0.141094i −0.566738 0.823898i \(-0.691795\pi\)
−0.730602 + 0.682803i \(0.760761\pi\)
\(62\) −751.247 + 884.436i −1.53885 + 1.81167i
\(63\) −110.561 24.3363i −0.221101 0.0486681i
\(64\) 1818.11 + 1382.09i 3.55100 + 2.69940i
\(65\) 28.7955 27.2766i 0.0549484 0.0520499i
\(66\) 14.1299 35.4633i 0.0263525 0.0661398i
\(67\) 165.700 + 55.8308i 0.302141 + 0.101803i 0.466289 0.884633i \(-0.345591\pi\)
−0.164148 + 0.986436i \(0.552487\pi\)
\(68\) 15.5269 + 94.7097i 0.0276898 + 0.168901i
\(69\) −150.607 142.662i −0.262767 0.248906i
\(70\) −60.8658 + 28.1595i −0.103927 + 0.0480815i
\(71\) −557.858 + 424.072i −0.932472 + 0.708847i −0.956766 0.290858i \(-0.906059\pi\)
0.0242940 + 0.999705i \(0.492266\pi\)
\(72\) −115.523 + 704.661i −0.189091 + 1.15340i
\(73\) 248.242 468.235i 0.398008 0.750722i −0.600807 0.799394i \(-0.705154\pi\)
0.998815 + 0.0486719i \(0.0154989\pi\)
\(74\) 1618.42 356.242i 2.54241 0.559626i
\(75\) −337.794 156.280i −0.520068 0.240609i
\(76\) 1066.96 + 2677.86i 1.61038 + 4.04174i
\(77\) 1.57187 + 28.9915i 0.00232638 + 0.0429076i
\(78\) 380.646 + 561.410i 0.552559 + 0.814964i
\(79\) −666.650 784.842i −0.949418 1.11774i −0.992932 0.118689i \(-0.962131\pi\)
0.0435134 0.999053i \(-0.486145\pi\)
\(80\) 116.994 + 220.674i 0.163504 + 0.308401i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −74.0182 + 1365.18i −0.0996822 + 1.83853i
\(83\) −80.1205 + 48.2069i −0.105956 + 0.0637518i −0.567546 0.823342i \(-0.692107\pi\)
0.461589 + 0.887094i \(0.347279\pi\)
\(84\) −226.056 814.180i −0.293628 1.05755i
\(85\) −1.10895 + 3.99407i −0.00141508 + 0.00509667i
\(86\) 1866.07 + 1122.78i 2.33981 + 1.40782i
\(87\) −75.4665 + 111.305i −0.0929984 + 0.137162i
\(88\) 182.061 19.8004i 0.220543 0.0239855i
\(89\) 1458.87 158.662i 1.73753 0.188967i 0.816203 0.577765i \(-0.196075\pi\)
0.921323 + 0.388798i \(0.127110\pi\)
\(90\) −26.9282 + 39.7161i −0.0315387 + 0.0465161i
\(91\) −442.034 265.963i −0.509206 0.306379i
\(92\) 414.238 1491.95i 0.469427 1.69072i
\(93\) −168.940 608.465i −0.188368 0.678440i
\(94\) −387.206 + 232.974i −0.424864 + 0.255632i
\(95\) −6.74032 + 124.318i −0.00727939 + 0.134260i
\(96\) −2243.21 + 755.826i −2.38486 + 0.803553i
\(97\) −478.099 901.790i −0.500450 0.943948i −0.997108 0.0760017i \(-0.975785\pi\)
0.496658 0.867946i \(-0.334560\pi\)
\(98\) −659.465 776.382i −0.679756 0.800270i
\(99\) 11.6580 + 17.1943i 0.0118351 + 0.0174554i
\(100\) −150.400 2773.97i −0.150400 2.77397i
\(101\) −552.804 1387.43i −0.544614 1.36688i −0.901520 0.432738i \(-0.857547\pi\)
0.356905 0.934141i \(-0.383832\pi\)
\(102\) −64.3348 29.7644i −0.0624519 0.0288933i
\(103\) 844.598 185.910i 0.807968 0.177847i 0.208268 0.978072i \(-0.433217\pi\)
0.599700 + 0.800225i \(0.295286\pi\)
\(104\) −1524.17 + 2874.90i −1.43709 + 2.71064i
\(105\) 5.90423 36.0142i 0.00548756 0.0334727i
\(106\) −1978.03 + 1503.66i −1.81249 + 1.37782i
\(107\) 822.371 380.469i 0.743006 0.343751i −0.0115973 0.999933i \(-0.503692\pi\)
0.754603 + 0.656182i \(0.227830\pi\)
\(108\) −438.923 415.770i −0.391069 0.370440i
\(109\) 176.209 + 1074.82i 0.154841 + 0.944491i 0.943914 + 0.330191i \(0.107113\pi\)
−0.789073 + 0.614300i \(0.789439\pi\)
\(110\) 11.6622 + 3.92945i 0.0101086 + 0.00340599i
\(111\) −333.790 + 837.749i −0.285423 + 0.716357i
\(112\) 2358.46 2234.05i 1.98976 1.88480i
\(113\) 796.295 + 605.328i 0.662912 + 0.503933i 0.881682 0.471844i \(-0.156411\pi\)
−0.218770 + 0.975776i \(0.570204\pi\)
\(114\) −2079.31 457.690i −1.70829 0.376023i
\(115\) 43.2943 50.9700i 0.0351062 0.0413303i
\(116\) −997.845 108.522i −0.798686 0.0868623i
\(117\) −369.110 −0.291660
\(118\) 890.427 + 2334.31i 0.694665 + 1.82111i
\(119\) 53.9134 0.0415314
\(120\) −228.846 24.8885i −0.174089 0.0189333i
\(121\) −858.222 + 1010.38i −0.644795 + 0.759111i
\(122\) 3347.39 + 736.817i 2.48409 + 0.546789i
\(123\) −592.291 450.248i −0.434188 0.330061i
\(124\) 3421.88 3241.38i 2.47818 2.34745i
\(125\) 89.1567 223.767i 0.0637954 0.160114i
\(126\) 591.432 + 199.277i 0.418166 + 0.140897i
\(127\) −271.304 1654.88i −0.189562 1.15628i −0.894520 0.447028i \(-0.852483\pi\)
0.704958 0.709249i \(-0.250966\pi\)
\(128\) −4557.78 4317.36i −3.14730 2.98128i
\(129\) −1075.58 + 497.619i −0.734108 + 0.339635i
\(130\) −174.074 + 132.328i −0.117441 + 0.0892762i
\(131\) −93.9046 + 572.793i −0.0626296 + 0.382024i 0.936849 + 0.349734i \(0.113728\pi\)
−0.999479 + 0.0322895i \(0.989720\pi\)
\(132\) −72.6291 + 136.993i −0.0478906 + 0.0903312i
\(133\) 1581.44 348.101i 1.03104 0.226949i
\(134\) −874.851 404.749i −0.563997 0.260933i
\(135\) −9.66509 24.2575i −0.00616176 0.0154649i
\(136\) −18.4107 339.565i −0.0116081 0.214099i
\(137\) 1503.32 + 2217.24i 0.937501 + 1.38271i 0.923829 + 0.382805i \(0.125042\pi\)
0.0136721 + 0.999907i \(0.495648\pi\)
\(138\) 740.377 + 871.640i 0.456704 + 0.537673i
\(139\) 366.589 + 691.460i 0.223695 + 0.421934i 0.969802 0.243892i \(-0.0784241\pi\)
−0.746107 + 0.665826i \(0.768079\pi\)
\(140\) 258.138 86.9769i 0.155833 0.0525063i
\(141\) 13.3133 245.549i 0.00795163 0.146659i
\(142\) 3310.14 1991.65i 1.95621 1.17701i
\(143\) 25.3254 + 91.2140i 0.0148099 + 0.0533405i
\(144\) 621.831 2239.63i 0.359856 1.29608i
\(145\) −37.1460 22.3500i −0.0212745 0.0128005i
\(146\) −1639.60 + 2418.23i −0.929412 + 1.37078i
\(147\) 551.083 59.9339i 0.309201 0.0336277i
\(148\) −6691.53 + 727.747i −3.71649 + 0.404192i
\(149\) −1227.70 + 1810.72i −0.675012 + 0.995569i 0.323765 + 0.946137i \(0.395051\pi\)
−0.998778 + 0.0494312i \(0.984259\pi\)
\(150\) 1758.15 + 1057.85i 0.957017 + 0.575818i
\(151\) −894.371 + 3221.23i −0.482006 + 1.73603i 0.177303 + 0.984156i \(0.443263\pi\)
−0.659309 + 0.751872i \(0.729151\pi\)
\(152\) −2732.50 9841.56i −1.45812 5.25168i
\(153\) 33.0532 19.8875i 0.0174653 0.0105085i
\(154\) 8.66555 159.827i 0.00453435 0.0836312i
\(155\) 192.916 65.0009i 0.0999701 0.0336839i
\(156\) −1290.48 2434.10i −0.662313 1.24925i
\(157\) −1122.86 1321.93i −0.570788 0.671984i 0.398711 0.917076i \(-0.369458\pi\)
−0.969500 + 0.245093i \(0.921182\pi\)
\(158\) 3185.82 + 4698.73i 1.60412 + 2.36589i
\(159\) −73.2017 1350.13i −0.0365112 0.673409i
\(160\) −282.450 708.896i −0.139560 0.350269i
\(161\) −789.416 365.223i −0.386427 0.178780i
\(162\) 436.104 95.9937i 0.211503 0.0465554i
\(163\) −694.882 + 1310.69i −0.333910 + 0.629821i −0.992440 0.122734i \(-0.960834\pi\)
0.658530 + 0.752555i \(0.271179\pi\)
\(164\) 898.402 5480.01i 0.427765 2.60925i
\(165\) −5.33135 + 4.05279i −0.00251543 + 0.00191218i
\(166\) 467.840 216.446i 0.218743 0.101201i
\(167\) 687.642 + 651.369i 0.318631 + 0.301823i 0.830252 0.557388i \(-0.188196\pi\)
−0.511622 + 0.859211i \(0.670955\pi\)
\(168\) 484.376 + 2954.56i 0.222443 + 1.35684i
\(169\) 488.040 + 164.440i 0.222139 + 0.0748475i
\(170\) 8.45831 21.2288i 0.00381602 0.00957748i
\(171\) 841.142 796.772i 0.376162 0.356320i
\(172\) −7041.99 5353.18i −3.12178 2.37312i
\(173\) −467.118 102.820i −0.205285 0.0451867i 0.111137 0.993805i \(-0.464551\pi\)
−0.316422 + 0.948618i \(0.602482\pi\)
\(174\) 479.942 565.032i 0.209105 0.246178i
\(175\) −1551.42 168.727i −0.670149 0.0728831i
\(176\) −596.121 −0.255308
\(177\) −1323.32 311.808i −0.561961 0.132412i
\(178\) −8090.00 −3.40658
\(179\) 3737.41 + 406.468i 1.56060 + 0.169725i 0.847293 0.531126i \(-0.178231\pi\)
0.713307 + 0.700852i \(0.247197\pi\)
\(180\) 126.175 148.545i 0.0522476 0.0615106i
\(181\) 3961.40 + 871.970i 1.62679 + 0.358083i 0.932374 0.361494i \(-0.117733\pi\)
0.694412 + 0.719577i \(0.255664\pi\)
\(182\) 2264.07 + 1721.10i 0.922110 + 0.700970i
\(183\) −1354.12 + 1282.69i −0.546992 + 0.518138i
\(184\) −2030.72 + 5096.73i −0.813624 + 2.04204i
\(185\) −275.496 92.8254i −0.109486 0.0368901i
\(186\) 563.210 + 3435.43i 0.222025 + 1.35429i
\(187\) −7.18242 6.80355i −0.00280872 0.00266056i
\(188\) 1665.82 770.690i 0.646236 0.298981i
\(189\) −270.372 + 205.531i −0.104056 + 0.0791016i
\(190\) 111.040 677.315i 0.0423984 0.258619i
\(191\) 1600.47 3018.82i 0.606316 1.14363i −0.370355 0.928890i \(-0.620764\pi\)
0.976671 0.214742i \(-0.0688912\pi\)
\(192\) 6691.20 1472.85i 2.51508 0.553612i
\(193\) 2122.22 + 981.843i 0.791506 + 0.366190i 0.773620 0.633650i \(-0.218444\pi\)
0.0178865 + 0.999840i \(0.494306\pi\)
\(194\) 2082.74 + 5227.29i 0.770785 + 1.93452i
\(195\) −6.44202 118.816i −0.00236576 0.0436338i
\(196\) 2321.92 + 3424.58i 0.846182 + 1.24803i
\(197\) 3327.26 + 3917.16i 1.20334 + 1.41668i 0.882997 + 0.469378i \(0.155522\pi\)
0.320342 + 0.947302i \(0.396202\pi\)
\(198\) −53.6439 101.183i −0.0192541 0.0363170i
\(199\) −333.953 + 112.522i −0.118961 + 0.0400827i −0.378153 0.925743i \(-0.623441\pi\)
0.259191 + 0.965826i \(0.416544\pi\)
\(200\) −532.911 + 9828.96i −0.188412 + 3.47506i
\(201\) 449.472 270.438i 0.157728 0.0949017i
\(202\) 2202.70 + 7933.42i 0.767236 + 2.76333i
\(203\) −150.844 + 543.292i −0.0521537 + 0.187841i
\(204\) 246.708 + 148.439i 0.0846717 + 0.0509453i
\(205\) 134.597 198.516i 0.0458569 0.0676339i
\(206\) −4739.69 + 515.472i −1.60306 + 0.174343i
\(207\) −618.698 + 67.2875i −0.207741 + 0.0225932i
\(208\) 5944.03 8766.79i 1.98146 2.92244i
\(209\) −254.610 153.194i −0.0842667 0.0507016i
\(210\) −53.8247 + 193.859i −0.0176870 + 0.0637026i
\(211\) −367.481 1323.55i −0.119898 0.431833i 0.879098 0.476641i \(-0.158146\pi\)
−0.998996 + 0.0448086i \(0.985732\pi\)
\(212\) 8647.49 5203.02i 2.80147 1.68559i
\(213\) −113.813 + 2099.15i −0.0366118 + 0.675265i
\(214\) −4733.84 + 1595.02i −1.51214 + 0.509500i
\(215\) −178.955 337.545i −0.0567657 0.107071i
\(216\) 1386.83 + 1632.71i 0.436861 + 0.514313i
\(217\) −1485.87 2191.50i −0.464828 0.685570i
\(218\) −325.076 5995.68i −0.100995 1.86275i
\(219\) −588.486 1476.99i −0.181581 0.455733i
\(220\) −45.3655 20.9883i −0.0139025 0.00643196i
\(221\) 171.673 37.7881i 0.0522533 0.0115018i
\(222\) 2328.69 4392.38i 0.704017 1.32792i
\(223\) −18.9396 + 115.527i −0.00568741 + 0.0346916i −0.989518 0.144411i \(-0.953871\pi\)
0.983830 + 0.179103i \(0.0573195\pi\)
\(224\) −7901.27 + 6006.39i −2.35681 + 1.79160i
\(225\) −1013.38 + 468.841i −0.300261 + 0.138916i
\(226\) −4003.34 3792.17i −1.17831 1.11616i
\(227\) −791.705 4829.19i −0.231486 1.41200i −0.805228 0.592965i \(-0.797957\pi\)
0.573742 0.819036i \(-0.305491\pi\)
\(228\) 8195.10 + 2761.25i 2.38041 + 0.802054i
\(229\) −136.677 + 343.033i −0.0394405 + 0.0989881i −0.947378 0.320118i \(-0.896277\pi\)
0.907937 + 0.419107i \(0.137657\pi\)
\(230\) −267.658 + 253.539i −0.0767342 + 0.0726865i
\(231\) 69.3415 + 52.7120i 0.0197504 + 0.0150138i
\(232\) 3473.35 + 764.542i 0.982916 + 0.216356i
\(233\) −1505.67 + 1772.61i −0.423347 + 0.498402i −0.931944 0.362602i \(-0.881888\pi\)
0.508597 + 0.861005i \(0.330164\pi\)
\(234\) 2022.93 + 220.007i 0.565142 + 0.0614629i
\(235\) 79.2743 0.0220055
\(236\) −2570.37 9816.80i −0.708969 2.70771i
\(237\) −3089.27 −0.846708
\(238\) −295.476 32.1350i −0.0804742 0.00875210i
\(239\) 666.219 784.334i 0.180310 0.212278i −0.664580 0.747217i \(-0.731390\pi\)
0.844891 + 0.534939i \(0.179665\pi\)
\(240\) 731.788 + 161.079i 0.196820 + 0.0433233i
\(241\) 3488.48 + 2651.88i 0.932419 + 0.708806i 0.956754 0.290898i \(-0.0939539\pi\)
−0.0243355 + 0.999704i \(0.507747\pi\)
\(242\) 5305.78 5025.90i 1.40937 1.33503i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −13193.0 4445.23i −3.46145 1.16630i
\(245\) 28.9106 + 176.347i 0.00753891 + 0.0459853i
\(246\) 2977.72 + 2820.65i 0.771758 + 0.731048i
\(247\) 4791.69 2216.87i 1.23436 0.571078i
\(248\) −13295.4 + 10106.9i −3.40427 + 2.58786i
\(249\) −45.3823 + 276.820i −0.0115502 + 0.0704528i
\(250\) −622.005 + 1173.23i −0.157356 + 0.296805i
\(251\) −3184.52 + 700.965i −0.800817 + 0.176273i −0.596480 0.802628i \(-0.703435\pi\)
−0.204336 + 0.978901i \(0.565504\pi\)
\(252\) −2300.65 1064.39i −0.575108 0.266073i
\(253\) 59.0782 + 148.275i 0.0146807 + 0.0368458i
\(254\) 500.512 + 9231.41i 0.123642 + 2.28043i
\(255\) 6.97863 + 10.2927i 0.00171380 + 0.00252766i
\(256\) 10577.9 + 12453.3i 2.58249 + 3.04035i
\(257\) −3638.52 6862.97i −0.883130 1.66576i −0.736361 0.676589i \(-0.763458\pi\)
−0.146769 0.989171i \(-0.546887\pi\)
\(258\) 6191.42 2086.13i 1.49403 0.503399i
\(259\) −204.706 + 3775.58i −0.0491113 + 0.905805i
\(260\) 761.010 457.885i 0.181523 0.109218i
\(261\) 107.929 + 388.725i 0.0255963 + 0.0921895i
\(262\) 856.062 3083.26i 0.201861 0.727039i
\(263\) −1851.01 1113.72i −0.433985 0.261120i 0.281756 0.959486i \(-0.409083\pi\)
−0.715741 + 0.698366i \(0.753911\pi\)
\(264\) 308.319 454.736i 0.0718777 0.106012i
\(265\) 433.327 47.1271i 0.100449 0.0109245i
\(266\) −8874.67 + 965.179i −2.04564 + 0.222477i
\(267\) 2470.58 3643.83i 0.566281 0.835201i
\(268\) 3354.84 + 2018.54i 0.764662 + 0.460082i
\(269\) −697.327 + 2511.54i −0.158055 + 0.569262i 0.841523 + 0.540221i \(0.181659\pi\)
−0.999578 + 0.0290415i \(0.990755\pi\)
\(270\) 38.5115 + 138.706i 0.00868050 + 0.0312643i
\(271\) 5948.31 3578.98i 1.33334 0.802242i 0.342790 0.939412i \(-0.388628\pi\)
0.990548 + 0.137170i \(0.0438006\pi\)
\(272\) −59.9284 + 1105.31i −0.0133592 + 0.246395i
\(273\) −1466.62 + 494.162i −0.325143 + 0.109553i
\(274\) −6917.49 13047.8i −1.52519 2.87681i
\(275\) 185.390 + 218.258i 0.0406525 + 0.0478598i
\(276\) −2606.81 3844.76i −0.568520 0.838504i
\(277\) −97.7134 1802.22i −0.0211951 0.390920i −0.989814 0.142368i \(-0.954528\pi\)
0.968619 0.248552i \(-0.0799545\pi\)
\(278\) −1596.97 4008.10i −0.344533 0.864711i
\(279\) −1719.35 795.458i −0.368943 0.170691i
\(280\) −942.616 + 207.485i −0.201186 + 0.0442844i
\(281\) −2099.89 + 3960.82i −0.445797 + 0.840863i 0.554167 + 0.832406i \(0.313037\pi\)
−0.999964 + 0.00845744i \(0.997308\pi\)
\(282\) −219.323 + 1337.81i −0.0463139 + 0.282502i
\(283\) −2435.28 + 1851.25i −0.511528 + 0.388853i −0.828856 0.559462i \(-0.811008\pi\)
0.317328 + 0.948316i \(0.397214\pi\)
\(284\) −14240.8 + 6588.48i −2.97547 + 1.37660i
\(285\) 271.160 + 256.857i 0.0563584 + 0.0533855i
\(286\) −84.4299 515.000i −0.0174561 0.106478i
\(287\) −2956.20 996.058i −0.608009 0.204862i
\(288\) −2628.49 + 6597.00i −0.537795 + 1.34976i
\(289\) 3553.48 3366.03i 0.723281 0.685128i
\(290\) 190.260 + 144.632i 0.0385256 + 0.0292864i
\(291\) −2990.48 658.253i −0.602422 0.132603i
\(292\) 7682.55 9044.60i 1.53968 1.81265i
\(293\) 2180.26 + 237.118i 0.434718 + 0.0472784i 0.322862 0.946446i \(-0.395355\pi\)
0.111856 + 0.993724i \(0.464321\pi\)
\(294\) −3055.97 −0.606218
\(295\) 77.2748 431.419i 0.0152512 0.0851463i
\(296\) 23849.8 4.68325
\(297\) 61.9562 + 6.73814i 0.0121046 + 0.00131645i
\(298\) 7807.75 9191.99i 1.51775 1.78684i
\(299\) −2769.67 609.651i −0.535700 0.117917i
\(300\) −6634.74 5043.60i −1.27686 0.970641i
\(301\) −3607.52 + 3417.22i −0.690810 + 0.654370i
\(302\) 6821.67 17121.1i 1.29981 3.26228i
\(303\) −4245.98 1430.64i −0.805033 0.271247i
\(304\) 5378.77 + 32809.1i 1.01478 + 6.18990i
\(305\) −436.530 413.503i −0.0819529 0.0776299i
\(306\) −193.004 + 89.2933i −0.0360566 + 0.0166816i
\(307\) −3406.37 + 2589.45i −0.633263 + 0.481394i −0.871880 0.489720i \(-0.837099\pi\)
0.238617 + 0.971114i \(0.423306\pi\)
\(308\) −105.179 + 641.563i −0.0194582 + 0.118690i
\(309\) 1215.26 2292.23i 0.223734 0.422008i
\(310\) −1096.03 + 241.255i −0.200808 + 0.0442011i
\(311\) 5119.93 + 2368.73i 0.933520 + 0.431892i 0.826863 0.562403i \(-0.190123\pi\)
0.106657 + 0.994296i \(0.465985\pi\)
\(312\) 3613.23 + 9068.51i 0.655637 + 1.64552i
\(313\) 229.098 + 4225.46i 0.0413718 + 0.763058i 0.943456 + 0.331498i \(0.107554\pi\)
−0.902084 + 0.431560i \(0.857963\pi\)
\(314\) 5365.96 + 7914.20i 0.964391 + 1.42237i
\(315\) −70.8791 83.4453i −0.0126780 0.0149257i
\(316\) −10800.7 20372.2i −1.92274 3.62666i
\(317\) 3372.89 1136.46i 0.597604 0.201356i −0.00421182 0.999991i \(-0.501341\pi\)
0.601816 + 0.798635i \(0.294444\pi\)
\(318\) −403.553 + 7443.09i −0.0711639 + 1.31254i
\(319\) 88.6560 53.3425i 0.0155604 0.00936241i
\(320\) 590.888 + 2128.19i 0.103224 + 0.371779i
\(321\) 727.237 2619.27i 0.126450 0.455431i
\(322\) 4108.76 + 2472.16i 0.711094 + 0.427851i
\(323\) −309.645 + 456.692i −0.0533408 + 0.0786718i
\(324\) −1803.11 + 196.100i −0.309175 + 0.0336249i
\(325\) −5058.34 + 550.128i −0.863342 + 0.0938941i
\(326\) 4589.58 6769.12i 0.779734 1.15002i
\(327\) 2799.80 + 1684.58i 0.473484 + 0.284886i
\(328\) −5264.01 + 18959.2i −0.886147 + 3.19161i
\(329\) −275.840 993.487i −0.0462236 0.166482i
\(330\) 31.6345 19.0338i 0.00527703 0.00317509i
\(331\) 277.892 5125.41i 0.0461459 0.851112i −0.880238 0.474532i \(-0.842617\pi\)
0.926384 0.376580i \(-0.122900\pi\)
\(332\) −1984.16 + 668.540i −0.327996 + 0.110515i
\(333\) 1267.23 + 2390.25i 0.208540 + 0.393347i
\(334\) −3380.42 3979.74i −0.553797 0.651981i
\(335\) 94.8983 + 139.965i 0.0154772 + 0.0228271i
\(336\) −527.624 9731.46i −0.0856675 1.58004i
\(337\) 2831.96 + 7107.69i 0.457765 + 1.14890i 0.958953 + 0.283565i \(0.0915171\pi\)
−0.501188 + 0.865338i \(0.667104\pi\)
\(338\) −2576.72 1192.12i −0.414661 0.191842i
\(339\) 2930.60 645.075i 0.469524 0.103350i
\(340\) −43.4767 + 82.0058i −0.00693487 + 0.0130805i
\(341\) −78.6040 + 479.463i −0.0124828 + 0.0761419i
\(342\) −5084.85 + 3865.40i −0.803968 + 0.611161i
\(343\) 6025.15 2787.53i 0.948476 0.438812i
\(344\) 22754.7 + 21554.4i 3.56643 + 3.37830i
\(345\) −32.4578 197.984i −0.00506513 0.0308959i
\(346\) 2498.79 + 841.939i 0.388253 + 0.130818i
\(347\) −1753.88 + 4401.91i −0.271335 + 0.680999i −0.999992 0.00387893i \(-0.998765\pi\)
0.728658 + 0.684878i \(0.240145\pi\)
\(348\) −2186.11 + 2070.79i −0.336746 + 0.318983i
\(349\) 1640.99 + 1247.45i 0.251691 + 0.191330i 0.723410 0.690418i \(-0.242573\pi\)
−0.471720 + 0.881749i \(0.656367\pi\)
\(350\) 8402.08 + 1849.44i 1.28317 + 0.282447i
\(351\) −716.870 + 843.965i −0.109013 + 0.128340i
\(352\) 1810.59 + 196.914i 0.274161 + 0.0298168i
\(353\) 4973.89 0.749953 0.374977 0.927034i \(-0.377651\pi\)
0.374977 + 0.927034i \(0.377651\pi\)
\(354\) 7066.72 + 2497.65i 1.06099 + 0.374996i
\(355\) −677.700 −0.101320
\(356\) 32666.8 + 3552.73i 4.86331 + 0.528917i
\(357\) 104.708 123.272i 0.0155231 0.0182752i
\(358\) −20240.9 4455.35i −2.98817 0.657745i
\(359\) −1587.19 1206.55i −0.233339 0.177380i 0.481971 0.876187i \(-0.339921\pi\)
−0.715310 + 0.698808i \(0.753714\pi\)
\(360\) −501.362 + 474.915i −0.0734003 + 0.0695284i
\(361\) −3595.31 + 9023.54i −0.524173 + 1.31558i
\(362\) −21191.0 7140.07i −3.07672 1.03667i
\(363\) 643.410 + 3924.63i 0.0930310 + 0.567464i
\(364\) −8386.33 7943.95i −1.20759 1.14389i
\(365\) 465.170 215.211i 0.0667072 0.0308620i
\(366\) 8185.89 6222.75i 1.16908 0.888712i
\(367\) −525.025 + 3202.51i −0.0746759 + 0.455503i 0.922847 + 0.385166i \(0.125856\pi\)
−0.997523 + 0.0703371i \(0.977592\pi\)
\(368\) 8365.16 15778.4i 1.18496 2.23507i
\(369\) −2179.81 + 479.812i −0.307524 + 0.0676911i
\(370\) 1454.55 + 672.945i 0.204374 + 0.0945533i
\(371\) −2098.40 5266.59i −0.293648 0.737002i
\(372\) −765.529 14119.4i −0.106696 1.96789i
\(373\) −938.025 1383.48i −0.130212 0.192048i 0.756994 0.653422i \(-0.226667\pi\)
−0.887206 + 0.461373i \(0.847357\pi\)
\(374\) 35.3085 + 41.5684i 0.00488171 + 0.00574719i
\(375\) −338.483 638.446i −0.0466111 0.0879179i
\(376\) −6163.12 + 2076.60i −0.845315 + 0.284820i
\(377\) −99.5287 + 1835.70i −0.0135968 + 0.250778i
\(378\) 1604.30 965.274i 0.218297 0.131345i
\(379\) −1697.76 6114.78i −0.230101 0.828748i −0.984949 0.172848i \(-0.944703\pi\)
0.754848 0.655900i \(-0.227711\pi\)
\(380\) −745.816 + 2686.19i −0.100683 + 0.362628i
\(381\) −4310.78 2593.71i −0.579654 0.348766i
\(382\) −10570.9 + 15590.9i −1.41584 + 2.08821i
\(383\) −7909.58 + 860.219i −1.05525 + 0.114765i −0.619260 0.785186i \(-0.712567\pi\)
−0.435990 + 0.899951i \(0.643602\pi\)
\(384\) −18723.5 + 2036.31i −2.48823 + 0.270611i
\(385\) −15.7577 + 23.2409i −0.00208594 + 0.00307654i
\(386\) −11045.7 6646.00i −1.45651 0.876354i
\(387\) −951.159 + 3425.76i −0.124936 + 0.449978i
\(388\) −6114.40 22022.1i −0.800030 2.88145i
\(389\) −6666.17 + 4010.90i −0.868864 + 0.522778i −0.878810 0.477172i \(-0.841662\pi\)
0.00994537 + 0.999951i \(0.496834\pi\)
\(390\) −35.5141 + 655.019i −0.00461109 + 0.0850466i
\(391\) 280.868 94.6354i 0.0363276 0.0122402i
\(392\) −6867.06 12952.7i −0.884794 1.66890i
\(393\) 1127.30 + 1327.17i 0.144695 + 0.170348i
\(394\) −15900.5 23451.5i −2.03313 2.99865i
\(395\) −53.9166 994.433i −0.00686794 0.126672i
\(396\) 172.175 + 432.128i 0.0218488 + 0.0548365i
\(397\) 13994.4 + 6474.49i 1.76916 + 0.818503i 0.978498 + 0.206255i \(0.0661277\pi\)
0.790666 + 0.612247i \(0.209734\pi\)
\(398\) 1897.32 417.631i 0.238955 0.0525979i
\(399\) 2275.48 4292.01i 0.285505 0.538519i
\(400\) 5183.68 31619.1i 0.647960 3.95238i
\(401\) −9213.34 + 7003.80i −1.14736 + 0.872202i −0.993266 0.115854i \(-0.963040\pi\)
−0.154096 + 0.988056i \(0.549246\pi\)
\(402\) −2624.55 + 1214.25i −0.325624 + 0.150650i
\(403\) −6267.40 5936.80i −0.774693 0.733828i
\(404\) −5410.39 33001.9i −0.666279 4.06412i
\(405\) −74.2357 25.0129i −0.00910815 0.00306889i
\(406\) 1150.54 2887.64i 0.140641 0.352983i
\(407\) 503.728 477.156i 0.0613485 0.0581124i
\(408\) −812.166 617.393i −0.0985495 0.0749154i
\(409\) 10634.8 + 2340.90i 1.28572 + 0.283008i 0.804689 0.593696i \(-0.202332\pi\)
0.481029 + 0.876704i \(0.340263\pi\)
\(410\) −855.993 + 1007.75i −0.103109 + 0.121389i
\(411\) 7989.38 + 868.897i 0.958849 + 0.104281i
\(412\) 19364.9 2.31563
\(413\) −5675.54 + 532.722i −0.676211 + 0.0634710i
\(414\) 3430.92 0.407296
\(415\) −89.9001 9.77722i −0.0106338 0.00115649i
\(416\) −20949.6 + 24663.8i −2.46908 + 2.90683i
\(417\) 2292.99 + 504.725i 0.269276 + 0.0592721i
\(418\) 1304.10 + 991.348i 0.152597 + 0.116001i
\(419\) −652.391 + 617.978i −0.0760654 + 0.0720530i −0.724788 0.688972i \(-0.758062\pi\)
0.648722 + 0.761025i \(0.275304\pi\)
\(420\) 302.474 759.152i 0.0351410 0.0881972i
\(421\) 10850.1 + 3655.81i 1.25606 + 0.423215i 0.867143 0.498060i \(-0.165954\pi\)
0.388914 + 0.921274i \(0.372850\pi\)
\(422\) 1225.11 + 7472.83i 0.141321 + 0.862018i
\(423\) −535.588 507.336i −0.0615630 0.0583156i
\(424\) −32454.1 + 15014.9i −3.71725 + 1.71978i
\(425\) 423.326 321.804i 0.0483161 0.0367289i
\(426\) 1874.95 11436.7i 0.213243 1.30073i
\(427\) −3663.20 + 6909.53i −0.415163 + 0.783081i
\(428\) 19815.3 4361.69i 2.23788 0.492594i
\(429\) 257.746 + 119.246i 0.0290072 + 0.0134201i
\(430\) 779.582 + 1956.60i 0.0874297 + 0.219432i
\(431\) −748.758 13810.0i −0.0836807 1.54340i −0.675518 0.737343i \(-0.736080\pi\)
0.591838 0.806057i \(-0.298403\pi\)
\(432\) −3913.20 5771.53i −0.435819 0.642785i
\(433\) −642.801 756.764i −0.0713420 0.0839902i 0.725333 0.688398i \(-0.241686\pi\)
−0.796675 + 0.604408i \(0.793410\pi\)
\(434\) 6837.19 + 12896.3i 0.756211 + 1.42637i
\(435\) −123.246 + 41.5266i −0.0135844 + 0.00457712i
\(436\) −1320.37 + 24352.9i −0.145033 + 2.67498i
\(437\) 7627.65 4589.41i 0.834966 0.502382i
\(438\) 2344.88 + 8445.50i 0.255805 + 0.921328i
\(439\) 4364.83 15720.7i 0.474538 1.70913i −0.207869 0.978157i \(-0.566653\pi\)
0.682406 0.730973i \(-0.260933\pi\)
\(440\) 151.760 + 91.3110i 0.0164429 + 0.00989337i
\(441\) 933.254 1376.45i 0.100772 0.148628i
\(442\) −963.389 + 104.775i −0.103674 + 0.0112752i
\(443\) 12310.2 1338.82i 1.32026 0.143587i 0.579290 0.815121i \(-0.303330\pi\)
0.740974 + 0.671534i \(0.234364\pi\)
\(444\) −11332.0 + 16713.5i −1.21125 + 1.78646i
\(445\) 1216.06 + 731.681i 0.129544 + 0.0779438i
\(446\) 172.659 621.863i 0.0183311 0.0660225i
\(447\) 1755.80 + 6323.81i 0.185786 + 0.669141i
\(448\) 24615.0 14810.3i 2.59587 1.56188i
\(449\) 176.018 3246.46i 0.0185007 0.341224i −0.974599 0.223955i \(-0.928103\pi\)
0.993100 0.117269i \(-0.0374141\pi\)
\(450\) 5833.36 1965.49i 0.611083 0.205898i
\(451\) 268.132 + 505.751i 0.0279952 + 0.0528046i
\(452\) 14499.9 + 17070.6i 1.50889 + 1.77640i
\(453\) 5628.30 + 8301.12i 0.583754 + 0.860972i
\(454\) 1460.57 + 26938.6i 0.150986 + 2.78478i
\(455\) −184.667 463.479i −0.0190271 0.0477543i
\(456\) −27809.5 12866.1i −2.85592 1.32129i
\(457\) −17261.9 + 3799.62i −1.76691 + 0.388925i −0.975086 0.221829i \(-0.928797\pi\)
−0.791820 + 0.610754i \(0.790866\pi\)
\(458\) 953.531 1798.55i 0.0972830 0.183495i
\(459\) 18.7222 114.200i 0.00190387 0.0116131i
\(460\) 1192.13 906.231i 0.120833 0.0918549i
\(461\) −12369.4 + 5722.69i −1.24968 + 0.578161i −0.929369 0.369153i \(-0.879648\pi\)
−0.320306 + 0.947314i \(0.603786\pi\)
\(462\) −348.612 330.223i −0.0351058 0.0332540i
\(463\) 422.854 + 2579.29i 0.0424443 + 0.258898i 0.999521 0.0309348i \(-0.00984842\pi\)
−0.957077 + 0.289833i \(0.906400\pi\)
\(464\) −10970.7 3696.47i −1.09764 0.369836i
\(465\) 226.049 567.341i 0.0225436 0.0565803i
\(466\) 9308.50 8817.48i 0.925338 0.876527i
\(467\) −1662.25 1263.61i −0.164710 0.125209i 0.519572 0.854426i \(-0.326091\pi\)
−0.684282 + 0.729217i \(0.739884\pi\)
\(468\) −8071.84 1776.75i −0.797267 0.175492i
\(469\) 1423.87 1676.31i 0.140188 0.165042i
\(470\) −434.468 47.2513i −0.0426394 0.00463731i
\(471\) −5203.34 −0.509039
\(472\) 5293.37 + 35564.5i 0.516202 + 3.46820i
\(473\) 911.832 0.0886386
\(474\) 16931.0 + 1841.35i 1.64064 + 0.178431i
\(475\) 10339.6 12172.7i 0.998767 1.17584i
\(476\) 1179.00 + 259.517i 0.113528 + 0.0249894i
\(477\) −3229.22 2454.79i −0.309970 0.235633i
\(478\) −4118.76 + 3901.50i −0.394117 + 0.373327i
\(479\) 1091.73 2740.03i 0.104138 0.261367i −0.867670 0.497141i \(-0.834383\pi\)
0.971808 + 0.235774i \(0.0757624\pi\)
\(480\) −2169.44 730.970i −0.206294 0.0695085i
\(481\) 1994.49 + 12165.8i 0.189066 + 1.15325i
\(482\) −17538.2 16613.1i −1.65735 1.56993i
\(483\) −2368.25 + 1095.67i −0.223104 + 0.103219i
\(484\) −23631.5 + 17964.2i −2.21933 + 1.68709i
\(485\) 159.699 974.119i 0.0149516 0.0912010i
\(486\) 627.494 1183.58i 0.0585673 0.110470i
\(487\) 13843.0 3047.07i 1.28806 0.283523i 0.482425 0.875937i \(-0.339756\pi\)
0.805634 + 0.592414i \(0.201825\pi\)
\(488\) 44769.4 + 20712.5i 4.15290 + 1.92134i
\(489\) 1647.30 + 4134.40i 0.152338 + 0.382339i
\(490\) −53.3355 983.715i −0.00491725 0.0906933i
\(491\) −3122.58 4605.46i −0.287006 0.423303i 0.656667 0.754180i \(-0.271966\pi\)
−0.943674 + 0.330878i \(0.892655\pi\)
\(492\) −10785.1 12697.2i −0.988275 1.16349i
\(493\) −89.9939 169.747i −0.00822134 0.0155071i
\(494\) −27582.5 + 9293.64i −2.51214 + 0.846439i
\(495\) −1.08769 + 20.0612i −9.87635e−5 + 0.00182159i
\(496\) 46581.0 28026.9i 4.21683 2.53718i
\(497\) 2358.11 + 8493.13i 0.212828 + 0.766537i
\(498\) 413.719 1490.08i 0.0372273 0.134081i
\(499\) 9562.29 + 5753.44i 0.857849 + 0.516151i 0.875235 0.483698i \(-0.160707\pi\)
−0.0173856 + 0.999849i \(0.505534\pi\)
\(500\) 3026.84 4464.25i 0.270728 0.399294i
\(501\) 2824.85 307.221i 0.251907 0.0273965i
\(502\) 17870.8 1943.56i 1.58887 0.172800i
\(503\) −8184.95 + 12071.9i −0.725545 + 1.07010i 0.268727 + 0.963216i \(0.413397\pi\)
−0.994272 + 0.106882i \(0.965913\pi\)
\(504\) 7696.29 + 4630.71i 0.680199 + 0.409262i
\(505\) 386.416 1391.74i 0.0340501 0.122637i
\(506\) −235.403 847.846i −0.0206817 0.0744888i
\(507\) 1323.84 796.529i 0.115964 0.0697734i
\(508\) 2032.95 37495.6i 0.177554 3.27480i
\(509\) −3855.21 + 1298.97i −0.335715 + 0.113116i −0.482110 0.876111i \(-0.660130\pi\)
0.146395 + 0.989226i \(0.453233\pi\)
\(510\) −32.1119 60.5695i −0.00278811 0.00525894i
\(511\) −4315.67 5080.80i −0.373609 0.439846i
\(512\) −22365.2 32986.2i −1.93049 2.84726i
\(513\) −188.177 3470.72i −0.0161953 0.298706i
\(514\) 15850.5 + 39781.7i 1.36018 + 3.41380i
\(515\) 759.076 + 351.186i 0.0649493 + 0.0300487i
\(516\) −25916.6 + 5704.68i −2.21108 + 0.486695i
\(517\) −88.6243 + 167.163i −0.00753906 + 0.0142202i
\(518\) 3372.34 20570.3i 0.286046 1.74480i
\(519\) −1142.32 + 868.366i −0.0966129 + 0.0734432i
\(520\) −2856.08 + 1321.36i −0.240861 + 0.111434i
\(521\) 7669.82 + 7265.24i 0.644954 + 0.610933i 0.938611 0.344978i \(-0.112114\pi\)
−0.293657 + 0.955911i \(0.594872\pi\)
\(522\) −359.813 2194.76i −0.0301697 0.184027i
\(523\) −15685.5 5285.05i −1.31143 0.441872i −0.425193 0.905103i \(-0.639794\pi\)
−0.886238 + 0.463230i \(0.846690\pi\)
\(524\) −4810.73 + 12074.0i −0.401065 + 1.00660i
\(525\) −3398.89 + 3219.60i −0.282552 + 0.267647i
\(526\) 9480.76 + 7207.08i 0.785895 + 0.597422i
\(527\) 881.108 + 193.946i 0.0728305 + 0.0160312i
\(528\) −1157.76 + 1363.02i −0.0954263 + 0.112345i
\(529\) 7342.04 + 798.495i 0.603439 + 0.0656279i
\(530\) −2402.97 −0.196940
\(531\) −3283.05 + 2420.18i −0.268309 + 0.197791i
\(532\) 36259.2 2.95495
\(533\) −10111.4 1099.68i −0.821711 0.0893664i
\(534\) −15712.1 + 18497.7i −1.27327 + 1.49901i
\(535\) 855.833 + 188.383i 0.0691605 + 0.0152234i
\(536\) −11044.2 8395.56i −0.889992 0.676554i
\(537\) 8188.03 7756.12i 0.657988 0.623280i
\(538\) 5318.75 13349.0i 0.426222 1.06974i
\(539\) −404.178 136.184i −0.0322991 0.0108828i
\(540\) −94.5939 576.997i −0.00753828 0.0459815i
\(541\) −4140.96 3922.52i −0.329083 0.311724i 0.505263 0.862965i \(-0.331396\pi\)
−0.834345 + 0.551242i \(0.814154\pi\)
\(542\) −34733.4 + 16069.4i −2.75263 + 1.27350i
\(543\) 9687.41 7364.18i 0.765611 0.582002i
\(544\) 547.132 3337.36i 0.0431215 0.263030i
\(545\) −493.401 + 930.652i −0.0387797 + 0.0731463i
\(546\) 8332.46 1834.11i 0.653107 0.143760i
\(547\) 10830.8 + 5010.87i 0.846604 + 0.391681i 0.794723 0.606973i \(-0.207616\pi\)
0.0518812 + 0.998653i \(0.483478\pi\)
\(548\) 22202.4 + 55723.8i 1.73073 + 4.34380i
\(549\) 302.938 + 5587.37i 0.0235503 + 0.434359i
\(550\) −885.949 1306.68i −0.0686855 0.101303i
\(551\) −3735.79 4398.11i −0.288838 0.340047i
\(552\) 7709.61 + 14541.9i 0.594462 + 1.12127i
\(553\) −12274.9 + 4135.90i −0.943909 + 0.318040i
\(554\) −538.683 + 9935.42i −0.0413113 + 0.761942i
\(555\) −747.301 + 449.636i −0.0571552 + 0.0343892i
\(556\) 4688.30 + 16885.7i 0.357605 + 1.28798i
\(557\) 3364.65 12118.4i 0.255951 0.921853i −0.718178 0.695860i \(-0.755024\pi\)
0.974129 0.225993i \(-0.0725626\pi\)
\(558\) 8948.91 + 5384.38i 0.678920 + 0.408493i
\(559\) −9092.04 + 13409.8i −0.687929 + 1.01462i
\(560\) 3123.34 339.683i 0.235688 0.0256326i
\(561\) −29.5056 + 3.20893i −0.00222055 + 0.000241499i
\(562\) 13869.4 20455.9i 1.04101 1.53537i
\(563\) −944.028 568.003i −0.0706679 0.0425195i 0.479781 0.877388i \(-0.340716\pi\)
−0.550449 + 0.834869i \(0.685544\pi\)
\(564\) 1473.11 5305.67i 0.109981 0.396116i
\(565\) 258.796 + 932.100i 0.0192702 + 0.0694048i
\(566\) 14450.2 8694.37i 1.07312 0.645674i
\(567\) −55.1605 + 1017.38i −0.00408558 + 0.0753541i
\(568\) 52687.3 17752.4i 3.89209 1.31140i
\(569\) −3043.85 5741.30i −0.224261 0.423002i 0.745693 0.666290i \(-0.232119\pi\)
−0.969954 + 0.243288i \(0.921774\pi\)
\(570\) −1333.01 1569.35i −0.0979540 0.115320i
\(571\) −2720.56 4012.53i −0.199391 0.294079i 0.714828 0.699300i \(-0.246505\pi\)
−0.914219 + 0.405221i \(0.867195\pi\)
\(572\) 114.759 + 2116.61i 0.00838868 + 0.154720i
\(573\) −3794.10 9522.48i −0.276616 0.694254i
\(574\) 15607.9 + 7221.00i 1.13495 + 0.525085i
\(575\) −8378.45 + 1844.24i −0.607662 + 0.133756i
\(576\) 9627.74 18159.8i 0.696451 1.31365i
\(577\) −2598.09 + 15847.7i −0.187452 + 1.14341i 0.710625 + 0.703571i \(0.248412\pi\)
−0.898077 + 0.439838i \(0.855036\pi\)
\(578\) −21481.4 + 16329.7i −1.54586 + 1.17513i
\(579\) 6366.66 2945.53i 0.456976 0.211420i
\(580\) −704.739 667.564i −0.0504529 0.0477916i
\(581\) 190.283 + 1160.67i 0.0135874 + 0.0828793i
\(582\) 15997.2 + 5390.07i 1.13935 + 0.383893i
\(583\) −385.060 + 966.428i −0.0273543 + 0.0686541i
\(584\) −30526.8 + 28916.6i −2.16303 + 2.04893i
\(585\) −284.183 216.030i −0.0200846 0.0152679i
\(586\) −11807.7 2599.08i −0.832378 0.183220i
\(587\) −1208.20 + 1422.40i −0.0849536 + 0.100015i −0.802997 0.595984i \(-0.796762\pi\)
0.718043 + 0.695999i \(0.245038\pi\)
\(588\) 12339.8 + 1342.03i 0.865451 + 0.0941234i
\(589\) 27097.7 1.89566
\(590\) −680.656 + 2318.36i −0.0474952 + 0.161772i
\(591\) 15418.6 1.07316
\(592\) −77178.2 8393.63i −5.35811 0.582730i
\(593\) −16896.2 + 19891.7i −1.17006 + 1.37750i −0.258658 + 0.965969i \(0.583280\pi\)
−0.911398 + 0.411527i \(0.864996\pi\)
\(594\) −335.539 73.8576i −0.0231773 0.00510171i
\(595\) 41.5087 + 31.5541i 0.00285998 + 0.00217410i
\(596\) −35563.8 + 33687.8i −2.44421 + 2.31528i
\(597\) −391.310 + 982.113i −0.0268262 + 0.0673287i
\(598\) 14816.0 + 4992.09i 1.01316 + 0.341374i
\(599\) −1787.58 10903.8i −0.121934 0.743765i −0.975040 0.222028i \(-0.928732\pi\)
0.853106 0.521737i \(-0.174716\pi\)
\(600\) 21438.8 + 20307.9i 1.45872 + 1.38178i
\(601\) 1468.18 679.254i 0.0996480 0.0461021i −0.369432 0.929258i \(-0.620448\pi\)
0.469080 + 0.883156i \(0.344586\pi\)
\(602\) 21808.1 16578.1i 1.47646 1.12238i
\(603\) 254.592 1552.94i 0.0171937 0.104877i
\(604\) −35064.2 + 66138.0i −2.36215 + 4.45549i
\(605\) −1252.10 + 275.609i −0.0841409 + 0.0185208i
\(606\) 22417.6 + 10371.5i 1.50273 + 0.695237i
\(607\) −6633.98 16650.0i −0.443599 1.11335i −0.965514 0.260352i \(-0.916161\pi\)
0.521914 0.852998i \(-0.325218\pi\)
\(608\) −5499.23 101427.i −0.366814 6.76549i
\(609\) 949.267 + 1400.06i 0.0631629 + 0.0931584i
\(610\) 2145.96 + 2526.43i 0.142439 + 0.167692i
\(611\) −1574.68 2970.16i −0.104263 0.196661i
\(612\) 818.551 275.802i 0.0540653 0.0182167i
\(613\) −304.833 + 5622.31i −0.0200850 + 0.370445i 0.971162 + 0.238422i \(0.0766302\pi\)
−0.991247 + 0.132023i \(0.957853\pi\)
\(614\) 20212.3 12161.3i 1.32850 0.799333i
\(615\) −192.495 693.304i −0.0126214 0.0454581i
\(616\) 616.275 2219.62i 0.0403091 0.145180i
\(617\) −15687.9 9439.11i −1.02362 0.615890i −0.0983289 0.995154i \(-0.531350\pi\)
−0.925289 + 0.379264i \(0.876177\pi\)
\(618\) −8026.61 + 11838.4i −0.522455 + 0.770564i
\(619\) 3418.43 371.776i 0.221968 0.0241405i 0.00354080 0.999994i \(-0.498873\pi\)
0.218427 + 0.975853i \(0.429907\pi\)
\(620\) 4531.65 492.846i 0.293541 0.0319245i
\(621\) −1047.76 + 1545.33i −0.0677054 + 0.0998581i
\(622\) −26648.3 16033.7i −1.71784 1.03359i
\(623\) 4938.25 17786.0i 0.317571 1.14379i
\(624\) −8500.89 30617.4i −0.545365 1.96423i
\(625\) −13088.6 + 7875.15i −0.837671 + 0.504010i
\(626\) 1262.99 23294.5i 0.0806378 1.48728i
\(627\) −844.768 + 284.636i −0.0538067 + 0.0181296i
\(628\) −18191.8 34313.4i −1.15594 2.18034i
\(629\) −834.092 981.969i −0.0528735 0.0622475i
\(630\) 338.720 + 499.575i 0.0214205 + 0.0315929i
\(631\) −1339.15 24699.3i −0.0844864 1.55826i −0.666764 0.745269i \(-0.732321\pi\)
0.582277 0.812990i \(-0.302162\pi\)
\(632\) 30240.9 + 75899.1i 1.90335 + 4.77706i
\(633\) −3739.98 1730.30i −0.234835 0.108646i
\(634\) −19162.7 + 4218.04i −1.20039 + 0.264227i
\(635\) 759.678 1432.90i 0.0474754 0.0895481i
\(636\) 4898.16 29877.5i 0.305385 1.86276i
\(637\) 6032.90 4586.10i 0.375247 0.285255i
\(638\) −517.680 + 239.504i −0.0321240 + 0.0148622i
\(639\) 4578.64 + 4337.11i 0.283455 + 0.268503i
\(640\) −982.263 5991.54i −0.0606677 0.370057i
\(641\) 18320.5 + 6172.91i 1.12889 + 0.380367i 0.820928 0.571032i \(-0.193457\pi\)
0.307961 + 0.951399i \(0.400353\pi\)
\(642\) −5546.88 + 13921.6i −0.340994 + 0.855830i
\(643\) −5412.46 + 5126.96i −0.331954 + 0.314444i −0.835463 0.549546i \(-0.814801\pi\)
0.503509 + 0.863990i \(0.332042\pi\)
\(644\) −15505.2 11786.8i −0.948745 0.721217i
\(645\) −1119.35 246.388i −0.0683324 0.0150411i
\(646\) 1969.24 2318.37i 0.119936 0.141200i
\(647\) 23436.1 + 2548.83i 1.42406 + 0.154876i 0.787484 0.616336i \(-0.211384\pi\)
0.636579 + 0.771212i \(0.280349\pi\)
\(648\) 6426.61 0.389600
\(649\) 823.330 + 645.249i 0.0497974 + 0.0390266i
\(650\) 28050.5 1.69266
\(651\) −7896.63 858.811i −0.475412 0.0517042i
\(652\) −21505.1 + 25317.7i −1.29172 + 1.52073i
\(653\) −7948.46 1749.59i −0.476336 0.104849i −0.0296879 0.999559i \(-0.509451\pi\)
−0.446648 + 0.894710i \(0.647382\pi\)
\(654\) −14340.4 10901.3i −0.857421 0.651795i
\(655\) −407.539 + 386.041i −0.0243112 + 0.0230288i
\(656\) 23706.9 59499.7i 1.41097 3.54127i
\(657\) −4520.05 1522.98i −0.268408 0.0904371i
\(658\) 919.596 + 5609.29i 0.0544827 + 0.332330i
\(659\) 4830.56 + 4575.75i 0.285541 + 0.270479i 0.817041 0.576579i \(-0.195613\pi\)
−0.531500 + 0.847058i \(0.678371\pi\)
\(660\) −136.097 + 62.9650i −0.00802659 + 0.00371350i
\(661\) 6686.77 5083.15i 0.393472 0.299110i −0.389668 0.920956i \(-0.627410\pi\)
0.783140 + 0.621846i \(0.213617\pi\)
\(662\) −4577.99 + 27924.5i −0.268774 + 1.63945i
\(663\) 247.014 465.918i 0.0144694 0.0272923i
\(664\) 7245.33 1594.82i 0.423454 0.0932092i
\(665\) 1421.31 + 657.566i 0.0828810 + 0.0383449i
\(666\) −5520.43 13855.2i −0.321190 0.806125i
\(667\) 167.813 + 3095.12i 0.00974172 + 0.179676i
\(668\) 11902.2 + 17554.4i 0.689385 + 1.01677i
\(669\) 227.366 + 267.676i 0.0131397 + 0.0154693i
\(670\) −436.671 823.649i −0.0251792 0.0474930i
\(671\) 1359.96 458.223i 0.0782423 0.0263629i
\(672\) −1612.00 + 29731.5i −0.0925359 + 1.70672i
\(673\) 7082.39 4261.33i 0.405655 0.244075i −0.298074 0.954543i \(-0.596344\pi\)
0.703729 + 0.710468i \(0.251517\pi\)
\(674\) −11284.2 40642.1i −0.644885 2.32267i
\(675\) −896.152 + 3227.65i −0.0511006 + 0.184048i
\(676\) 9881.10 + 5945.26i 0.562193 + 0.338260i
\(677\) 11935.3 17603.2i 0.677562 0.999330i −0.321071 0.947055i \(-0.604043\pi\)
0.998633 0.0522743i \(-0.0166470\pi\)
\(678\) −16445.9 + 1788.60i −0.931563 + 0.101314i
\(679\) −12763.6 + 1388.13i −0.721388 + 0.0784557i
\(680\) 184.563 272.211i 0.0104084 0.0153512i
\(681\) −12579.5 7568.82i −0.707852 0.425900i
\(682\) 716.577 2580.88i 0.0402334 0.144908i
\(683\) 6253.98 + 22524.8i 0.350369 + 1.26192i 0.903416 + 0.428765i \(0.141051\pi\)
−0.553047 + 0.833150i \(0.686535\pi\)
\(684\) 22229.8 13375.2i 1.24265 0.747681i
\(685\) −140.260 + 2586.94i −0.00782342 + 0.144295i
\(686\) −34682.7 + 11686.0i −1.93031 + 0.650397i
\(687\) 518.892 + 978.735i 0.0288166 + 0.0543538i
\(688\) −66048.7 77758.5i −3.66000 4.30889i
\(689\) −10373.2 15299.3i −0.573565 0.845945i
\(690\) 59.8794 + 1104.41i 0.00330372 + 0.0609336i
\(691\) −1786.69 4484.24i −0.0983629 0.246872i 0.871558 0.490292i \(-0.163110\pi\)
−0.969921 + 0.243420i \(0.921731\pi\)
\(692\) −9720.18 4497.04i −0.533968 0.247040i
\(693\) 255.197 56.1732i 0.0139887 0.00307914i
\(694\) 12236.0 23079.6i 0.669269 1.26237i
\(695\) −122.451 + 746.919i −0.00668322 + 0.0407658i
\(696\) 8493.91 6456.90i 0.462587 0.351650i
\(697\) 964.707 446.321i 0.0524260 0.0242548i
\(698\) −8250.01 7814.82i −0.447375 0.423776i
\(699\) 1128.80 + 6885.39i 0.0610805 + 0.372574i
\(700\) −33114.8 11157.7i −1.78803 0.602458i
\(701\) 5420.50 13604.4i 0.292054 0.732999i −0.707598 0.706615i \(-0.750221\pi\)
0.999652 0.0263842i \(-0.00839933\pi\)
\(702\) 4431.90 4198.12i 0.238278 0.225709i
\(703\) −30806.7 23418.6i −1.65277 1.25640i
\(704\) −5148.22 1133.21i −0.275612 0.0606668i
\(705\) 153.963 181.260i 0.00822495 0.00968316i
\(706\) −27259.7 2964.68i −1.45316 0.158041i
\(707\) −18786.3 −0.999337
\(708\) −27438.0 13188.7i −1.45648 0.700086i
\(709\) 4875.22 0.258241 0.129121 0.991629i \(-0.458785\pi\)
0.129121 + 0.991629i \(0.458785\pi\)
\(710\) 3714.18 + 403.942i 0.196325 + 0.0213516i
\(711\) −5999.85 + 7063.57i −0.316473 + 0.372580i
\(712\) −113708. 25029.1i −5.98511 1.31742i
\(713\) −11587.6 8808.67i −0.608638 0.462675i
\(714\) −647.338 + 613.191i −0.0339300 + 0.0321402i
\(715\) −33.8867 + 85.0492i −0.00177243 + 0.00444847i
\(716\) 79774.6 + 26879.2i 4.16385 + 1.40296i
\(717\) −499.465 3046.60i −0.0260152 0.158685i
\(718\) 7979.54 + 7558.62i 0.414755 + 0.392876i
\(719\) 5932.16 2744.51i 0.307694 0.142355i −0.259965 0.965618i \(-0.583711\pi\)
0.567659 + 0.823263i \(0.307849\pi\)
\(720\) 1789.55 1360.38i 0.0926288 0.0704146i
\(721\) 1759.90 10734.9i 0.0909045 0.554493i
\(722\) 25082.8 47311.1i 1.29291 2.43870i
\(723\) 12838.7 2826.00i 0.660408 0.145367i
\(724\) 82432.1 + 38137.1i 4.23144 + 1.95767i
\(725\) 2058.44 + 5166.29i 0.105446 + 0.264650i
\(726\) −1186.99 21892.7i −0.0606793 1.11916i
\(727\) −13562.1 20002.5i −0.691869 1.02043i −0.997663 0.0683328i \(-0.978232\pi\)
0.305793 0.952098i \(-0.401078\pi\)
\(728\) 26497.7 + 31195.4i 1.34899 + 1.58816i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −2677.67 + 902.213i −0.135760 + 0.0457430i
\(731\) 91.6670 1690.70i 0.00463807 0.0855441i
\(732\) −35786.8 + 21532.2i −1.80699 + 1.08723i
\(733\) 6176.84 + 22247.0i 0.311251 + 1.12102i 0.939370 + 0.342906i \(0.111411\pi\)
−0.628119 + 0.778117i \(0.716175\pi\)
\(734\) 4786.28 17238.6i 0.240688 0.866879i
\(735\) 459.364 + 276.390i 0.0230529 + 0.0138705i
\(736\) −30619.4 + 45160.2i −1.53349 + 2.26172i
\(737\) −401.230 + 43.6364i −0.0200536 + 0.00218096i
\(738\) 12232.6 1330.37i 0.610145 0.0663573i
\(739\) −8277.69 + 12208.7i −0.412043 + 0.607718i −0.975917 0.218143i \(-0.930000\pi\)
0.563874 + 0.825861i \(0.309310\pi\)
\(740\) −5577.83 3356.07i −0.277088 0.166718i
\(741\) 4237.38 15261.7i 0.210073 0.756614i
\(742\) 8361.29 + 30114.6i 0.413683 + 1.48995i
\(743\) −3759.90 + 2262.26i −0.185649 + 0.111701i −0.605344 0.795964i \(-0.706965\pi\)
0.419695 + 0.907665i \(0.362137\pi\)
\(744\) −2712.49 + 50028.9i −0.133662 + 2.46525i
\(745\) −2004.98 + 675.558i −0.0985999 + 0.0332222i
\(746\) 4316.29 + 8141.38i 0.211837 + 0.399567i
\(747\) 544.805 + 641.394i 0.0266846 + 0.0314155i
\(748\) −124.318 183.356i −0.00607691 0.00896278i
\(749\) −617.061 11381.0i −0.0301027 0.555212i
\(750\) 1474.53 + 3700.80i 0.0717897 + 0.180179i
\(751\) −17660.7 8170.71i −0.858120 0.397009i −0.0590563 0.998255i \(-0.518809\pi\)
−0.799064 + 0.601246i \(0.794671\pi\)
\(752\) 20674.7 4550.86i 1.00257 0.220682i
\(753\) −4582.09 + 8642.74i −0.221754 + 0.418272i
\(754\) 1639.64 10001.3i 0.0791937 0.483060i
\(755\) −2573.89 + 1956.62i −0.124071 + 0.0943162i
\(756\) −6901.94 + 3193.18i −0.332039 + 0.153617i
\(757\) 2425.50 + 2297.56i 0.116455 + 0.110312i 0.743712 0.668501i \(-0.233064\pi\)
−0.627257 + 0.778813i \(0.715822\pi\)
\(758\) 5659.99 + 34524.4i 0.271214 + 1.65433i
\(759\) 453.768 + 152.892i 0.0217006 + 0.00731178i
\(760\) 3656.22 9176.41i 0.174506 0.437978i
\(761\) 8966.37 8493.40i 0.427110 0.404580i −0.443719 0.896166i \(-0.646341\pi\)
0.870829 + 0.491586i \(0.163583\pi\)
\(762\) 22079.6 + 16784.4i 1.04968 + 0.797948i
\(763\) 13380.0 + 2945.16i 0.634848 + 0.139741i
\(764\) 49531.2 58312.6i 2.34552 2.76136i
\(765\) 37.0877 + 4.03353i 0.00175282 + 0.000190631i
\(766\) 43861.7 2.06891
\(767\) −17698.9 + 5674.31i −0.833206 + 0.267129i
\(768\) 49018.1 2.30311
\(769\) 12501.9 + 1359.66i 0.586255 + 0.0637591i 0.396440 0.918061i \(-0.370246\pi\)
0.189815 + 0.981820i \(0.439211\pi\)
\(770\) 100.214 117.981i 0.00469021 0.00552174i
\(771\) −22758.7